Answer:
6
Step-by-step explanation:
Inverse proportion.
z = k/w
z = 3, w = 4
Solve for k constant.
3 = k/4
(4)3 = (4)k/4
12=k
The value of k constant is 12.
z = k/w
Put w as 2 and k as 12 and solve for z.
z = 12/2
z = 6
The value of z when w equals 2 is 6.
Puppies : Adults = 1 : 4
Total parts = 1 + 4 = 5
5 parts = 100 dogs
1 part = 100 ÷ 5 = 20 dogs
Answer: 20 puppies
The measure of angle RML is of 130º.
<h3>What is the value of x?</h3>
Angle NML is the sum of angles NMR and RML, hence:
NML = NMR + RML.
The given measures of the angles are:
Hence we can solve the equation for RML to find the measure of angle RML, as follows:
NML = NMR + RML
156 = 26 + RML
RML = 130º.
The measure of angle RML is of 130º.
A similar problem, in which the measures of the angles are calculated, is given at brainly.com/question/25716982
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Answer:
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Step-by-step explanation:
Given that:
Rent per day of company A = $70
Per mile charges = $0.20
Let,
x be the number of miles.
A(x) = 0.20x + 70
Rent per day of company B = $20
Per mile charges = $0.40
B(x) = 0.40x + 20
For make Company A better deal,
A(x) > B(x)
0.20x+70 > 0.40+20
0.20x-0.40x>20-70
-0.20x>-50
Dividing both sides by -0.20

Hence,
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n